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Mirrors > Home > MPE Home > Th. List > truanfal | Structured version Visualization version GIF version |
Description: A ∧ identity. (Contributed by Anthony Hart, 22-Oct-2010.) |
Ref | Expression |
---|---|
truanfal | ⊢ ((⊤ ∧ ⊥) ↔ ⊥) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | truan 1553 | 1 ⊢ ((⊤ ∧ ⊥) ↔ ⊥) |
Colors of variables: wff setvar class |
Syntax hints: ↔ wb 209 ∧ wa 399 ⊤wtru 1543 ⊥wfal 1554 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 210 df-an 400 df-tru 1545 |
This theorem is referenced by: trunanfal 1584 |
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